10003440400 has 60 divisors (see below), whose sum is σ = 24180866512. Its totient is φ = 3976801920.

The previous prime is 10003440389. The next prime is 10003440413. The reversal of 10003440400 is 404430001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11514 + ... + 141913.

Almost surely, 2^10003440400 is an apocalyptic number.

10003440400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10003440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12090433256).

10003440400 is an abundant number, since it is smaller than the sum of its proper divisors (14177426112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10003440400 is a wasteful number, since it uses less digits than its factorization.

10003440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153608 (or 153597 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10003440400 its reverse (404430001), we get a palindrome (10407870401).

The spelling of 10003440400 in words is "ten billion, three million, four hundred forty thousand, four hundred".